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ph2a_quiz2 - P h002a F all 2 008 Quiz 2 Due 2 8 O ctober 2...

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Ph002a, Fall 2008 Quiz 2 Due: 28 October 2008 A string with length tr, tension ?, and mass per unit length p is fixed at both ends. 1. What is the angular frequency ir.rr of the fundamental mode (n: I)? 11 pointl 2. Write down the most general series equation for the time t and space r dependence of the displacement g(r,t) for the string. [1 point] 3. Suppose that the string is released at time t : 0 with the following /'1 \ tr, Write down an expression for the first four coefficients An (for n : 1,2,3,4) in the series expansion
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